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LCM of 389, 294, 673, 498, 127

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 389, 294, 673, 498, 127 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 389, 294, 673, 498, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,294,673,498,127

Given numbers are 389,294,673,498,127

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 389,294,673,498,127 is 811323040038.

Find LCM of 389,294,673,498,127 with Prime Factorization


2 389, 294, 673, 498, 127
3 389, 147, 673, 249, 127
389, 49, 673, 83, 127

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 389 x 49 x 673 x 83 x 127 = 811323040038

Therefore, the lowest common multiple of 389,294,673,498,127 is 811323040038.

LCM Formula to Find Lowest Common Multiple of 389,294,673,498,127

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

389 x 294 x 673 x 498 x 127 = 4867938240228

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

389 : 1, 389

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

673 : 1, 673

498 : 1, 2, 3, 6, 83, 166, 249, 498

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,294,673,498,127, is 1.

Now, the common factors can be found like this.

389:389

294:2x 3x 7x 7

673:673

498:2x 3x 83

127:127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4867938240228/(1x6)

LCM = 4867938240228/6

LCM = 811323040038

Thus, we can understand that the LCM of 389,294,673,498,127 is 811323040038.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 294, 673, 498, 127

1. What is the LCM of 389, 294, 673, 498, 127?

Answer: LCM of 389, 294, 673, 498, 127 is 811323040038.

2. How to calculate the LCM of 389, 294, 673, 498, 127?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 389, 294, 673, 498, 127.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.